Question
Writing Simultaneous Linear Equations Quick Check
4 of 54 of 5 Items
Question
Use the image to answer the question.
Two lines intersect on the coordinate plane. Both axes range from negative 10 to 10 in increments of 1.
Write the system of equations shown in the graph.
(1 point)
Responses
{y=2x−1y=4x+0.75
enlarged left brace start layout first row y equals 2 x minus 1 second row y equals 4 x plus 0.75 end layout
{y=2x−1y=4x+3
enlarged left brace start layout first row y equals 2 x minus 1 second row y equals 4 x plus 3 end layout
{y=2x+1y=4x−3
enlarged left brace start layout first row y equals 2 x minus 1 second row y equals 4 x minus 3 end layout
{y=−x+2y=3x+4
enlarged left brace start layout first row y equals negative x plus 2 second row y equals 3 x plus 4 end layout
Answers
GPT-4o mini
To accurately determine the equations of the lines based on the graph you described, I would need to visualize the graph itself. However, I can guide you on how to approach this problem.
1. **Identify the slope and y-intercept for each line.** The slope-intercept form of a linear equation is \(y = mx + b\), where \(m\) represents the slope and \(b\) the y-intercept.
2. **Find the slopes and intercepts.** Look at the two lines in the graph:
- For the first line, observe where it crosses the y-axis and how steep the line is.
- For the second line, do the same.
3. **Match the equations with the choices provided.** Once you have the equations, see which of the answer choices matches the equations you found.
If you need help determining the slope or intercepts verbally, please describe the lines' characteristics based on the graph details you can see, and I can assist you further!
1. **Identify the slope and y-intercept for each line.** The slope-intercept form of a linear equation is \(y = mx + b\), where \(m\) represents the slope and \(b\) the y-intercept.
2. **Find the slopes and intercepts.** Look at the two lines in the graph:
- For the first line, observe where it crosses the y-axis and how steep the line is.
- For the second line, do the same.
3. **Match the equations with the choices provided.** Once you have the equations, see which of the answer choices matches the equations you found.
If you need help determining the slope or intercepts verbally, please describe the lines' characteristics based on the graph details you can see, and I can assist you further!